Question : The average height of 30 boys out of a class of 50 is 160 cm. If the average height of the remaining boys is 165 cm, the average height of the whole class (in cm) is:
Option 1: 161
Option 2: 162
Option 3: 163
Option 4: 164
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Correct Answer: 162
Solution : Given: The average height of 30 boys out of a class of 50 is 160 cm. Average height of remaining boys = 165 cm Formula Used: $\text{Average} = \frac{\text{Sum of the heights of all the students}}{\text{Number of students}}$ Calculation: Total height of 30 boys $= 30 \times 160 = 4800$ Total height of 20 boys $= 20 \times 165= 3300$ Average height $= \frac{4800 + 3300}{50} = 162$ cm Hence, the correct answer is 162 cm.
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Question : _______countries participated in the Tokyo Paralympic 2020.
Option 1: 163
Option 2: 161
Option 3: 164
Option 4: 162
Question : The volume of a cone is 73920 cm3. If the height of the cone is 160 cm, find the diameter of its base.
Option 1: 21 cm
Option 2: 40 cm
Option 3: 22 cm
Option 4: 42 cm
Question : From a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface of the remaining solid (in square cm) is:
Option 1: 48$\pi$
Option 2: 15$\pi$
Option 3: 63$\pi$
Option 4: 24$\pi$
Question : In a class of 50 students, 22 girls scored an average of 35 marks in the test. What are the average marks of the boys if the class average is 42 marks?
Option 1: 50
Option 2: 52.5
Option 3: 47.5
Option 4: 55
Question : In an examination, the average marks obtained by the girls of a class is 85 and the average marks obtained by the boys of the same class is 87. If the girls and boys are in the ratio of 4 : 5, the average marks of the whole class (approximately) are closest to:
Option 1: 85.9
Option 2: 86.1
Option 3: 86.4
Option 4: 86.5
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